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Caltech

Number Theory Seminar

Thursday, May 24, 2018
4:00pm to 5:00pm
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Building 15, Room 104
Galois deformation ring associated to a real quadratic field
Haruzo Hida, Department of Mathematics, UCLA,
For almost all primes split in a real quadratic field, we describe how to determine the isomorphism class of the universal ordinary deformation ring of a 2-dimensional induced representation from the Galois group over the real field. As an application, we can write down the adjoint Selmer group of the universal deformation explicitly.
For more information, please contact Mathematics Dept. by phone at 626-395-4335 or by email at [email protected].